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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | https://arxiv.org/abs/2407.10234 |
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| _version_ | 1866912335710388224 |
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| author | Cheng, Yin Qiu, Lin Zhao, Qiang |
| author_facet | Cheng, Yin Qiu, Lin Zhao, Qiang |
| contents | Initiated by the recent observation of a flattened lineshape of $IJ^{PC}=00^{-+}$ around $1.4\sim 1.5$ GeV in the $K_S K_S π^0$ invariant mass spectrum by BESIII, we make a systematic partial wave analysis of $J/ψ\toγη_X\to γK\bar{K}π$ based on an isobaric approach. We demonstrate that in the scenario of the first radial excitations of the isoscalar pseudoscalar from the $K\bar{K}π$ threshold to about 1.6 GeV the non-trivial $K_S K_S π^0$ invariant mass spectrum can be explained by the coupled-channel effects with the presence of the triangle singularity mechanism.
It shows that a combined fit of the Dalitz plots, three-body and two-body spectra can be achieved which suggests that the one-state solution around $1.4\sim 1.5$ GeV proposed before still holds well. In particular, we show that the coupled-channel effects between the three important quasi-two-body decay channels, $K^*\bar{K}+c.c.$, $κ\bar{K}+c.c.$ and $a_0(980)π$, can be well described by taking into account the one-loop corrections in the isobaric approach.
This is because the isoscalar pseudoscalar states are coupled to the $K^*\bar{K}+c.c.$ and $a_0(980)π$ ($κ\bar{K}+c.c.$) channels via the $P$ and $S$ waves, respectively. As a consequence, the coupled-channel effects can be largely absorbed into the redefinition of the tree-level effective couplings with the transition amplitudes computed to the order of one-loop corrections. Then, the coupled-channel effects can be estimated by the contributions from the one-loop rescattering amplitudes in comparison with the tree-level ones, where we find that the rescattering contributions from the $P$-wave into the $S$-wave, or vice verse, are apparently suppressed in the kinematic region near threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10234 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Understanding the non-trivial isoscalar pseudoscalar structures in the $K_S K_Sπ^0$ spectra in the $J/ψ$ radiative decay Cheng, Yin Qiu, Lin Zhao, Qiang High Energy Physics - Phenomenology Initiated by the recent observation of a flattened lineshape of $IJ^{PC}=00^{-+}$ around $1.4\sim 1.5$ GeV in the $K_S K_S π^0$ invariant mass spectrum by BESIII, we make a systematic partial wave analysis of $J/ψ\toγη_X\to γK\bar{K}π$ based on an isobaric approach. We demonstrate that in the scenario of the first radial excitations of the isoscalar pseudoscalar from the $K\bar{K}π$ threshold to about 1.6 GeV the non-trivial $K_S K_S π^0$ invariant mass spectrum can be explained by the coupled-channel effects with the presence of the triangle singularity mechanism. It shows that a combined fit of the Dalitz plots, three-body and two-body spectra can be achieved which suggests that the one-state solution around $1.4\sim 1.5$ GeV proposed before still holds well. In particular, we show that the coupled-channel effects between the three important quasi-two-body decay channels, $K^*\bar{K}+c.c.$, $κ\bar{K}+c.c.$ and $a_0(980)π$, can be well described by taking into account the one-loop corrections in the isobaric approach. This is because the isoscalar pseudoscalar states are coupled to the $K^*\bar{K}+c.c.$ and $a_0(980)π$ ($κ\bar{K}+c.c.$) channels via the $P$ and $S$ waves, respectively. As a consequence, the coupled-channel effects can be largely absorbed into the redefinition of the tree-level effective couplings with the transition amplitudes computed to the order of one-loop corrections. Then, the coupled-channel effects can be estimated by the contributions from the one-loop rescattering amplitudes in comparison with the tree-level ones, where we find that the rescattering contributions from the $P$-wave into the $S$-wave, or vice verse, are apparently suppressed in the kinematic region near threshold. |
| title | Understanding the non-trivial isoscalar pseudoscalar structures in the $K_S K_Sπ^0$ spectra in the $J/ψ$ radiative decay |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.10234 |